Least Common Multiple (LCM) of 92 and 178
The least common multiple (LCM) of 92 and 178 is 8188.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 92 and 178?
First, calculate the GCD of 92 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 178 = 0 remainder 92 |
| 2 | 178 ÷ 92 = 1 remainder 86 |
| 3 | 92 ÷ 86 = 1 remainder 6 |
| 4 | 86 ÷ 6 = 14 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 85 | 510 |
| 59 and 59 | 59 |
| 10 and 195 | 390 |
| 179 and 187 | 33473 |
| 165 and 112 | 18480 |